5
QuizMultiple Choice

Solving Linear Equations: Distributive Property

Question 5 • AZ-Algebra 1A (MA101)

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?

Answer
A
The equation has one solution: x = 0.
B
The equation has one solution: x = 1.
C
The equation has no solution.
D
The equation has infinite solutions.

Explanation

If simplifying the equation gives the same variable expression on both sides, the equality is true for every value of the variable. There is no restriction to a single value, so the equation has infinitely many solutions. The best interpretation is “The equation has infinite solutions.”

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